Wavelets, Splines and Divergence-Free Vector Functions

Part of the NATO ASI Series book series (ASIC, volume 356)


The aim of this lecture is to give a quick review on wavelets and spline theory, a very quick one since Professor Chui already gave you an extended lecture on spline wavelets [7]. To avoid too much redundancy with Chui’s talk, I will speak as few as possible about “classical wavelet theory” - namely the orthonormal wavelet bases provided by the multiresolution analysis scheme - and a little more about heretical wavelet theories, such as bi-orthogonal wavelets or the pre-wavelets of G. Battle. A very nice example of how to apply such heretical wavelets will be given in the study of divergence-free vector wavelets.


Multiresolution Analysis Riesz Basis Unconditional Basis Wavelet Theory Spline Wavelet 
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© Springer Science+Business Media Dordrecht 1992

Authors and Affiliations

  1. 1.CNRS UA D 0757 Université de Paris-Sud MathématiquesOrsay CedexFrance

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